21202212211100 has 144 divisors (see below), whose sum is σ = 48768138326880. Its totient is φ = 7986761932800.

The previous prime is 21202212211087. The next prime is 21202212211109. The reversal of 21202212211100 is 111221220212.

It is a super-3 number, since 3×21202212211100³ (a number of 41 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21202212211109) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 540618692 + ... + 540657908.

It is an arithmetic number, because the mean of its divisors is an integer number (338667627270).

Almost surely, 2^{21202212211100} is an apocalyptic number.

21202212211100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21202212211100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24384069163440).

21202212211100 is an abundant number, since it is smaller than the sum of its proper divisors (27565926115780).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

21202212211100 is a wasteful number, since it uses less digits than its factorization.

21202212211100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43848 (or 43841 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 21202212211100 its reverse (111221220212), we get a palindrome (21313433431312).

The spelling of 21202212211100 in words is "twenty-one trillion, two hundred two billion, two hundred twelve million, two hundred eleven thousand, one hundred".